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Finding the Fourth Proportional to 798.78, 1,198.10 and 221.70

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Solution

The fourth proportional to 798.78, 1,198.10 and 221.70 is: 332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.78 : 1,198.10 = 221.70 : x
  2. Step 2: Convert to fraction form
    798.78/1,198.10 = 221.70/x
  3. Step 3: Cross multiply
    798.78x = 1,198.10 × 221.70
  4. Step 4: Simplify right side
    798.78x = 265,618.77
  5. Step 5: Solve for x
    x = 265,618.77/798.78
  6. Step 6: Final answer
    x = 332.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.